Advanced Engineering Mathematics, 10th Edition
By Erwin Kreyszig
Advanced Engineering Mathematics is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. This course provides students with comprehensive and up-to-date resources for learning engineering mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.
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Read, Study, and Practice
Students learn course concepts using the complete online eTextbook, flashcards, crossword puzzles, practice questions, videos, and animations. Organized by learning objective, students can filter for relevant learning resources based on what they need to study most and print any section of the eTextbook.
ORION Adaptive Practice (when available)
Every student has a different starting point, and adaptive practice provides endless opportunities for practice to effectively prepare for class or quizzes and exams. Active retrieval of information with practice questions is proven to improve retention of information better than re-reading or reviewing the material, and students who use adaptive practice to prepare for exams do significantly better than those who do not. Students begin with a quick, chapter-level diagnostic to determine their initial level of understanding, and they can use the dashboard and quick reports to see what topics they know and don’t know.
Assignments
Students who fully engage in WileyPLUS assignments do better in the course by more than a letter grade. Auto-graded assignments give students immediate feedback based on flexible assignment settings determined by the instructor, while the notification center allows students to set their own email notification policies to stay on track.
Instructors can select from extensive and reliable question banks to create and deploy reading, practice, homework, pre-post lectures, and assessment assignments. This course includes essay, label drag-and-drop, multiple choice, text entry, and true-/false question types.
Gradebook
Students know where they stand on WileyPLUS assignments, and they can track progress by learning objective.
Instructors have insights into student performance at the granular question attempt and can track trends by individual student, assignment, or learning objective. Flexible policies allow instructors to change points, set assignment weighing policies, extend individual due dates, or drop the lowest grade.
Chapter 1. First-Order ODEs
Chapter 2. Second-Order Linear ODEs
Chapter 3. Higher Order Linear ODEs
Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods
Chapter 5. Series Solutions of ODEs. Special Functions
Chapter 6. Laplace Transforms
Chapter 7. Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
Chapter 8. Linear Algebra: Matrix Eigenvalue Problems
Chapter 9. Vector Differential Calculus. Grad, Div, Curl
Chapter 10. Vector Integral Calculus. Integral Theorems
Chapter 11. Fourier Analysis
Chapter 12. Partial Differential Equations (PDEs)
Chapter 13. Complex Numbers and Functions. Complex Differentiation
Chapter 14. Complex Integration
Chapter 15. Power Series, Taylor Series
Chapter 16. Laurent Series. Residue Integration
Chapter 17. Conformal Mapping
Chapter 19. Numerics in General
Chapter 20. Numeric Linear Algebra
Chapter 21. Numerics for ODEs and PDEs
Chapter 22. Unconstrained Optimization. Linear Programming
Chapter 23. Graphs. Combinatorial Optimization
Chapter 24. Data Analysis. Probability Theory
Chapter 25. Mathematical Statistics
A. References
B. Answers to Odd-Numbered Problems
C. Auxiliary Material
D. Additional Proofs
E. Tables
Index
Photo Credits